0.16 As A Fraction Simplified

2 min read Jul 06, 2024
0.16 As A Fraction Simplified

0.16 as a Fraction Simplified

What is 0.16 as a Fraction?

0.16 can be converted to a fraction by dividing the decimal part by a power of 10. In this case, we can write 0.16 as:

0.16 = 16/100

Simplifying the Fraction

To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator (16) and the denominator (100).

The factors of 16 are: 1, 2, 4, 8, 16

The factors of 100 are: 1, 2, 4, 5, 10, 20, 25, 50, 100

The GCD of 16 and 100 is 4.

So, we can simplify the fraction by dividing both the numerator and the denominator by 4:

16 ÷ 4 = 4 100 ÷ 4 = 25

Therefore, the simplified fraction is:

0.16 = 4/25

Conclusion

In conclusion, 0.16 can be written as a simplified fraction, which is 4/25. This is a more concise and elegant way to express the decimal value.